Finding the Third Proportional to 122,367 and 270,978

Step by Step Solution

1. Step 1: Write the proportion equation
   122,367 : 270,978 = 270,978 : x
2. Step 2: Convert to fraction form
   122,367/270,978 = 270,978/x
3. Step 3: Cross multiply
   122,367x = 270,978 × 270,978
4. Step 4: Simplify right side
   122,367x = 73,429,076,484
5. Step 5: Solve for x
   x = 73,429,076,484/122,367
6. Step 6: Final answer
   x = 600,072.54